scholarly journals Design and Realization of a Hyperchaotic Memristive System for Communication System on FPGA

2020 ◽  
Vol 37 (6) ◽  
pp. 939-953
Author(s):  
Muhammet Emin Sahin ◽  
Hasan Guler ◽  
Serdar Ethem Hamamci
Keyword(s):  
Spread Spectrum ◽  
Secure Communication ◽  
Communication Systems ◽  
Initial Conditions ◽  
Equilibrium Points ◽  
Hyperchaotic System ◽  
Dynamical Characteristics ◽  
Memristive System ◽  
Sensitive Dependence ◽  
Chaotic Circuits

In this study, a memristor based hyperchaotic circuit is presented and implemented for communication systems on FPGA platform. Four dimensional hyperchaotic system, which contains active flux controlled memristor is designed by using a smooth continuous nonlinearity. Dynamical characteristics of designed hyperchaotic circuit are examined such as equilibrium points, chaotic attractors, Lyapunov exponents and bifurcation diagram. Furthermore, an electronic circuit model of hyperchaotic system has been modeled and results are submitted. Chaotic circuits are used in communication systems especially in secure communication due to their sensitive dependence on the initial conditions, not periodic, and having a spread spectrum. By using nonlinearity of memristor, the signals obtained from memristor based hyperchaotic system have been realized to analog and digital communication schemes on FPGA platform, which is suitable for re-programmable and reconfigurable systems. The success of memristor based hyperchaotic circuit with FPGA based communication is demonstrated by both simulation and experimental results.

scholarly journals Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four-Wing Memristive System, Active Control Synchronization, and Secure Communication Application

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-18 ◽  
Author(s):  
Fei Yu ◽  
Li Liu ◽  
Binyong He ◽  
Yuanyuan Huang ◽  
Changqiong Shi ◽  
...  
Keyword(s):  
Embedded System ◽  
Active Control ◽  
Dynamic Characteristics ◽  
Secure Communication ◽  
Initial Conditions ◽  
Random Number Generation ◽  
Phase Portraits ◽  
Hyperchaotic System ◽  
Complex Dynamic ◽  
Memristive System

By introducing a flux-controlled memristor with quadratic nonlinearity into a 4D hyperchaotic system as a feedback term, a novel 5D hyperchaotic four-wing memristive system (HFWMS) is derived in this paper. The HFWMS with multiline equilibrium and three positive Lyapunov exponents presented very complex dynamic characteristics, such as the existence of chaos, hyperchaos, limit cycles, and periods. The dynamic characteristics of the HFWMS are analyzed by using equilibria, phase portraits, poincare map, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy. Of particular interest is that this novel system can generate two-wing hyperchaotic attractor under appropriate parameters and initial conditions. Moreover, the FPGA realization of the novel 5D HFWMS is reported, which prove that the system has complex dynamic behavior. Finally, synchronization of the 5D hyperchaotic system with different structures by active control and a secure signal masking application of the HFWMS are implemented based on numerical simulations and FPGA. This research demonstrates that the hardware-based design of the 5D HFWMS can be applied to various chaos-based embedded system applications including random number generation, cryptography, and secure communication.

A new hyperchaotic particle motion system and its control

2019 ◽  
Vol 30 (12) ◽  
pp. 2050004
Author(s):  
Ning Cui ◽  
Junhong Li
Keyword(s):  
Particle Motion ◽  
Initial Conditions ◽  
Equilibrium Points ◽  
Multiple Equilibrium ◽  
Hopf Bifurcations ◽  
Hyperchaotic System ◽  
Motion System ◽  
The Rich ◽  
Theoretical Analyses ◽  
Multiple Equilibrium Points

This paper formulates a new hyperchaotic system for particle motion. The continuous dependence on initial conditions of the system’s solution and the equilibrium stability, bifurcation, energy function of the system are analyzed. The hyperchaotic behaviors in the motion of the particle on a horizontal smooth plane are also investigated. It shows that the rich dynamic behaviors of the system, including the degenerate Hopf bifurcations and nondegenerate Hopf bifurcations at multiple equilibrium points, the irregular variation of Hamiltonian energy, and the hyperchaotic attractors. These results generalize and improve some known results about the particle motion system. Furthermore, the constraint of hyperchaos control is obtained by applying Lagrange’s method and the constraint change the system from a hyperchaotic state to asymptotically state. The numerical simulations are carried out to verify theoretical analyses and to exhibit the rich hyperchaotic behaviors.

Dynamical Analysis and Circuit Simulation of a New Fractional-Order Hyperchaotic System and Its Discretization

2016 ◽  
Vol 26 (13) ◽  
pp. 1650222 ◽  
Author(s):  
A. M. A. El-Sayed ◽  
A. Elsonbaty ◽  
A. A. Elsadany ◽  
A. E. Matouk
Keyword(s):  
Fractional Order ◽  
Initial Conditions ◽  
Circuit Simulation ◽  
Equilibrium Points ◽  
Dynamical Behavior ◽  
Phase Portraits ◽  
Control Technique ◽  
Order System ◽  
Qualitative Behavior ◽  
Hyperchaotic System

This paper presents an analytical framework to investigate the dynamical behavior of a new fractional-order hyperchaotic circuit system. A sufficient condition for existence, uniqueness and continuous dependence on initial conditions of the solution of the proposed system is derived. The local stability of all the system’s equilibrium points are discussed using fractional Routh–Hurwitz test. Then the analytical conditions for the existence of a pitchfork bifurcation in this system with fractional-order parameter less than 1/3 are provided. Conditions for the existence of Hopf bifurcation in this system are also investigated. The dynamics of discretized form of our fractional-order hyperchaotic system are explored. Chaos control is also achieved in discretized system using delay feedback control technique. The numerical simulation are presented to confirm our theoretical analysis via phase portraits, bifurcation diagrams and Lyapunov exponents. A text encryption algorithm is presented based on the proposed fractional-order system. The results show that the new system exhibits a rich variety of dynamical behaviors such as limit cycles, chaos and transient phenomena where fractional-order derivative represents a key parameter in determining system qualitative behavior.

CHAOTIC BEHAVIOR AND DYNAMICS OF MAPS USED IN A METHOD OF SCRAMBLING SIGNALS

2010 ◽  
Vol 20 (12) ◽  
pp. 4097-4101
Author(s):  
REZA MAZROOEI-SEBDANI ◽  
MEHDI DEHGHAN
Keyword(s):  
Fixed Points ◽  
Limit Cycles ◽  
Secure Communication ◽  
Chaotic Behavior ◽  
Initial Conditions ◽  
Chaotic Encryption ◽  
Input And Output ◽  
Sensitive Dependence ◽  
Close Relationship ◽  
Existence And Stability

The close relationship between chaos and cryptography makes chaotic encryption a natural candidate for secure communication and cryptography. In this manuscript, we prove that a class of maps that have been proposed as suitable for scrambling signals possess the property of sensitive dependence on initial conditions (s.d.i.c.) necessary for chaos and cryptography. Our result can also be used for generating other maps with s.d.i.c., through a suitable semiconjugacy between their input and output parts. Using the condition of semiconjugacy we also establish for this class of maps rigorous criteria for the existence and stability of their fixed points and limit cycles.

scholarly journals A New Fractional-Order Chaotic System with Its Analysis, Synchronization, and Circuit Realization for Secure Communication Applications

Mathematics ◽  
2021 ◽  
Vol 9 (20) ◽  
pp. 2593
Author(s):  
Zain-Aldeen S. A. Rahman ◽  
Basil H. Jasim ◽  
Yasir I. A. Al-Yasir ◽  
Yim-Fun Hu ◽  
Raed A. Abd-Alhameed ◽  
...  
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Real World ◽  
Communication System ◽  
Secure Communication ◽  
Communication Systems ◽  
Equilibrium Points ◽  
Lyapunov Theory ◽  
Uncertain Parameter ◽  
Real World Applications

This article presents a novel four-dimensional autonomous fractional-order chaotic system (FOCS) with multi-nonlinearity terms. Several dynamics, such as the chaotic attractors, equilibrium points, fractal dimension, Lyapunov exponent, and bifurcation diagrams of this new FOCS, are studied analytically and numerically. Adaptive control laws are derived based on Lyapunov theory to achieve chaos synchronization between two identical new FOCSs with an uncertain parameter. For these two identical FOCSs, one represents the master and the other is the slave. The uncertain parameter in the slave side was estimated corresponding to the equivalent master parameter. Next, this FOCS and its synchronization were realized by a feasible electronic circuit and tested using Multisim software. In addition, a microcontroller (Arduino Due) was used to implement the suggested system and the developed synchronization technique to demonstrate its digital applicability in real-world applications. Furthermore, based on the developed synchronization mechanism, a secure communication scheme was constructed. Finally, the security analysis metric tests were investigated through histograms and spectrograms analysis to confirm the security strength of the employed communication system. Numerical simulations demonstrate the validity and possibility of using this new FOCS in high-level security communication systems. Furthermore, the secure communication system is highly resistant to pirate attacks. A good agreement between simulation and experimental results is obtained, showing that the new FOCS can be used in real-world applications.

scholarly journals Implementación electrónica basada en FPAA del oscilador caótico de Lorenz

2020 ◽  
pp. 14-22
Author(s):  
Alejandro SILVA-JUÁREZ ◽  
Jaime ESTEVEZ-CARREÓN ◽  
Juan Jorge PONCE-MELLADO ◽  
Gustavo HERRERA-SÁNCHEZ
Keyword(s):  
Integrated Circuit ◽  
Secure Communication ◽  
Communication Systems ◽  
Computer Arithmetic ◽  
Chaotic Oscillators ◽  
Random Number Generators ◽  
Gate Arrays ◽  
Field Programmable ◽  
Programmable Gate Arrays ◽  
Chaotic Circuits

Nowadays, chaotic systems are very interesting topics for engineers, physicists and mathematicians because most real physical systems are inherently non-linear in nature. The first electronic implementations of autonomous chaotic oscillators were developed using operational amplifiers and diodes, different references detail implementations of chaotic circuits and systems using analog integrated circuit technology, discrete devices such as FPGA (Field programmable gate arrays), microcontrollers, etc. However, analog implementations suffer the problem of sensitivity of analog component values and digital implementations suffer the problem of degradation due to the reduced number of bits to perform computer arithmetic operations. The systems of differential equations that model the chaotic oscillators require integrators that can be implemented with FPAA's (Field programmable analogue array), in this work electronic implementations are developed that are measured in laboratory conditions to observe experimental chaotic attractors, which will be used in the implementation of random number generators and secure communication systems for image encryption.

scholarly journals A new 4-D hyperchaotic hidden attractor system: Its dynamics, coexisting attractors, synchronization and microcontroller implementation

2021 ◽  
Vol 11 (3) ◽  
pp. 2068
Author(s):  
Basil H. Jasim ◽  
Kadhim H. Hassan ◽  
Khulood Moosa Omran
Keyword(s):  
Secure Communication ◽  
Communication Systems ◽  
Hardware Implementation ◽  
Design Procedure ◽  
Hyperchaotic System ◽  
Hidden Attractor ◽  
Matlab Simulation ◽  
Coexisting Attractors ◽  
Unknown Parameters ◽  
Analog Communication

In this paper, a simple 4-dimensional hyperchaotic system is introduced. The proposed system has no equilibria points, so it admits hidden attractor which is an interesting feature of chaotic systems. Another interesting feature of the proposed system is the coexisting of attractors where it shows periodic and chaotic coexisting attractors. After introducing the system, the system is analyzed dynamically using numerical and theoretical techniques. In this analysis, Lyapunov exponents and bifurcation diagrams have been used to investigate chaotic and hyperchaotic nature, the ranges of system parameters for different behaviors and the route for chaos and coexisting attractors regions. In the next part of our work, a synchronization control system for two identical systems is designed. The design procedure uses a combination of simple synergetic control with adaptive updating laws to identify the unknown parameters derived basing on Lyapunov theorem. Microcontroller (MCU) based hardware implementation system is proposed and tested by using MATLAB as a display side. As an application, the designed synchronization system is used as a secure analog communication system. The designed MCU system with MATLAB Simulation is used to validate the designed synchronization and secure communication systems and excellent results have been obtained.

Synchronization of Chaotic Circuits with Stochastically-Coupled Network Topology

2021 ◽  
Vol 31 (01) ◽  
pp. 2150015
Author(s):  
Yoko Uwate ◽  
Yoshifumi Nishio ◽  
Thomas Ott
Keyword(s):  
Secure Communication ◽  
Communication Systems ◽  
Small World ◽  
Chaotic Circuit ◽  
Scale Free ◽  
Wide Range ◽  
Scale Free Networks ◽  
Dynamic Topology ◽  
Chaotic Circuits ◽  
Fully Coupled

In recent years, research on synchronization between coupled chaotic circuits has attracted interest in a wide range of fields. This is because the synchronization of coupled chaotic circuits is a multidisciplinary phenomenon that occurs in various applications, such as broadband communication systems or secure communication. In this study, we propose a coupled chaotic circuit network model with stochastic couplings. We investigate the synchronization phenomena observed for the proposed network using different network structures such as fully-coupled, random, small world and scale-free networks. We find that the same synchronization characteristics can be obtained for these networks with a dynamic topology as when the coupling strength is changed in static networks.

EXPERIMENTAL STUDY OF IMPULSIVE SYNCHRONIZATION OF CHAOTIC AND HYPERCHAOTIC CIRCUITS

1999 ◽  
Vol 09 (07) ◽  
pp. 1393-1424 ◽  
Author(s):  
MAKOTO ITOH ◽  
TAO YANG ◽  
LEON O. CHUA
Keyword(s):  
Spread Spectrum ◽  
Communication Systems ◽  
Additive Noise ◽  
Experimental Results ◽  
Impulsive Synchronization ◽  
State Variable ◽  
Chua’S Oscillator ◽  
Chaotic Circuits ◽  
Driving Circuit ◽  
Short Impulse

In this paper, experimental results on impulsive synchronization of two kinds of chaotic circuits; namely, Chua's oscillator and a hyperchaotic circuit, are presented. To impulsively synchronize two Chua's oscillators, synchronization impulses sampled from one state variable of the driving circuit are transmitted to the driven circuit. To impulsively synchronize two hyperchaotic circuits, synchronizing impulses sampled from two signals of the driving circuit are sent to the driven circuit. Our experimental results show that the accuracy of impulsive synchronization depends on both the period and the width of the impulse. The ratio between the impulse width and impulse period for "almost-identical" synchronization increases as the impulse period increases. The robustness of impulsive synchronization to additive noise is also experimentally studied. For sufficiently short impulse periods, no significant differences are observed between impulsive and continuous synchronizations. The performance of chaotic spread spectrum communication systems based on impulsive synchronization is also studied experimentally.

SIMULATION AND CIRCUIT IMPLEMENTATION OF SPROTT CASE H CHAOTIC SYSTEM AND ITS SYNCHRONIZATION APPLICATION FOR SECURE COMMUNICATION SYSTEMS

2013 ◽  
Vol 22 (04) ◽  
pp. 1350022 ◽  
Author(s):  
SERDAR ÇİÇEK ◽  
YILMAZ UYAROĞLU ◽  
İHSAN PEHLİVAN
Keyword(s):  
Numerical Model ◽  
Circuit Design ◽  
Chaotic System ◽  
Secure Communication ◽  
Communication Systems ◽  
Circuit Simulation ◽  
Circuit Implementation ◽  
Complete Replacement ◽  
Design And Implementation ◽  
Chaotic Circuits

Nowadays, many simulations, implementations, synchronization and secure communication applications of chaotic circuits have been introduced in literature. However, electronics circuit design and implementation of nonlinear Sprott Case H chaotic system and its synchronization were not found in the literature. In this paper, numerical model, electronics circuit simulation and implementation electronics circuits of the Sprott Case H chaotic system and its synchronization by the method of Pecora and Carroll (P–C) complete replacement (CR) were performed. The simulation and implementation results showed that the Sprott Case H chaotic system can be synchronized and thus can be used for secure communication and encryption applications.

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